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Transactions of the American Mathematical Society

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The equation of evolution in a Banach space


Author: Joanne Elliott
Journal: Trans. Amer. Math. Soc. 103 (1962), 470-483
MSC: Primary 34.95; Secondary 47.50
DOI: https://doi.org/10.1090/S0002-9947-1962-0140955-7
MathSciNet review: 0140955
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  • [2] E. Hille and R. S. Phillips, Functional analysis and semi-groups, Amer. Math. Soc. Colloq. Publ. Vol. 31, Amer. Math. Soc., Providence, R. I., 1957. MR 0089373 (19:664d)
  • [3] T. Kato, Integration of the equation of evolution in a Banach space, J. Math. Soc. Japan, 5 (1953), 208-234. MR 0058861 (15:437b)
  • [4] R. S. Phillips, Perturbation theory for semi-groups of linear operators, Trans. Amer. Math. Soc. 74 (1953), 199-221. MR 0054167 (14:882b)
  • [5] L. Schwartz, Les équations d'évolution liées au produit de composition, Ann. Inst. Fourier, Grenoble 2 (1950), 19-49. MR 0043325 (13:242b)
  • [6] D. G. S. Stockton, Singular parabolic differential equations with time dependent coefficients, Brown University thesis, 1958.
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DOI: https://doi.org/10.1090/S0002-9947-1962-0140955-7
Article copyright: © Copyright 1962 American Mathematical Society

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